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Finding the Fourth Proportional to 2,006.52, 3,010.16 and 690.40

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Solution

The fourth proportional to 2,006.52, 3,010.16 and 690.40 is: 1,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.52 : 3,010.16 = 690.40 : x
  2. Step 2: Convert to fraction form
    2,006.52/3,010.16 = 690.40/x
  3. Step 3: Cross multiply
    2,006.52x = 3,010.16 × 690.40
  4. Step 4: Simplify right side
    2,006.52x = 2,078,214.46
  5. Step 5: Solve for x
    x = 2,078,214.46/2,006.52
  6. Step 6: Final answer
    x = 1,035.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.